Question

The perimeter of triangle is 44 cm it's sides are in the ratio 9:7:6 find its area

Answer 1

Let the sides of the triangle be,
9x , 7x , 6x

s = a + b + c / 2
s = 9x + 7x + 6x / 2
s = 11x

$a = \sqrt{s(s - a)(s - b)(s - c)}$
$a = \sqrt{11x(11x - 9x)(11x - 7x)(11 x - 6x)} \\ a = \sqrt{11x \times 2x \times 4x \times 5x} \\ a = 2 {x}^{2} \sqrt{110} \: c {m}^{2}$
Here is your answer

Answer 2

Step-by-step explanation:

Therefore the area of the triangle is 84cm²

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